Mrs. Zhang Graphing Exponential Functions and Transformation

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit!
• Horizontal shift right one unit!
• Vertical shift up one unit!
• Vertical shift down one unit!

 If g(x) is a transformation of f(x), describe the transformation.

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3

If g(x) is a transformation of f(x), describe the transformation.

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Tags

CCSS.HSF.BF.B.3

Which functions transforms f(x)=e^x so that is shifts left 5 units and up 3 units?

• f(x) = e^(x+5) - 3

• f(x) = e^(x-3) - 5

• f(x) = e^(x+5) + 3

• f(x) = e^(x-5) - 3

Tags

CCSS.HSF.BF.B.3

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: −∞<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the asymptotes in the graph
y=1/x  

• x+y=0
• y=0
• x=0
• Both the x and y axis

Tags

CCSS.HSF-IF.C.7D

Identify the y-intercept of the graph of the exponential function:

 $y=3\left(\frac{1}{2}\right)^x$  

• (3,0)

• (1/2, 0)

• (0,0)

• (0,3)

Tags

CCSS.HSF-IF.C.7E

Factor:
x² - 9

• ( x -9) (x - 9)
• (x + 3) (x + 3)
• (x + 3) (x - 3)
• ( x + 9) (x-9)

Tags

CCSS.HSA.APR.C.4

16n² - 25

• (16n - 25)(16n + 25)
• (8n - 5)(8n + 5)
• (4n + 5)(4n - 5)
• Not Factorable

Tags

CCSS.HSA.APR.C.4

Factor the Following completely

4x²-16

• (2x-4)(2x+4)

• (4x-4)(4x+4)

• 4(x-2)²

• 4(x-2)(x+2)

Tags

CCSS.HSA.APR.C.4